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Finding the Fourth Proportional to 261,793.80, 361,254.15 and 147,066.21

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Solution

The fourth proportional to 261,793.80, 361,254.15 and 147,066.21 is: 202,939.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,793.80 : 361,254.15 = 147,066.21 : x
  2. Step 2: Convert to fraction form
    261,793.80/361,254.15 = 147,066.21/x
  3. Step 3: Cross multiply
    261,793.80x = 361,254.15 × 147,066.21
  4. Step 4: Simplify right side
    261,793.80x = 53,128,278,687.27
  5. Step 5: Solve for x
    x = 53,128,278,687.27/261,793.80
  6. Step 6: Final answer
    x = 202,939.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.